Divisibility of quantum dynamical maps and collision models

S. N. Filippov*, J. Piilo, S. Maniscalco, M. Ziman

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

39 Citations (Scopus)
142 Downloads (Pure)


The divisibility of dynamical maps is visualized by trajectories in the parameter space and analyzed within the framework of collision models. We introduce ultimate completely positive (CP) divisible processes, which lose CP divisibility under infinitesimal perturbations, and characterize Pauli dynamical semigroups exhibiting such a property. We construct collision models with factorized environment particles, which realize additivity and multiplicativity of generators of CP divisible maps. A mixture of dynamical maps is obtained with the help of correlated environment. The mixture of ultimate CP divisible processes is shown to result in a class of eternal CP indivisible evolutions. We explicitly find collision models leading to weakly and essentially non-Markovian Pauli dynamical maps.

Original languageEnglish
Article number032111
Pages (from-to)1-13
JournalPhysical Review A
Issue number3
Publication statusPublished - 14 Sep 2017
MoE publication typeA1 Journal article-refereed


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